Verified Experiment: Intelligent Fuzzy Weighted Input Estimation Method to Inverse Heat Conduction Problem

In this paper, the innovative intelligent fuzzy weighted input estimation method (FWIEM) can be applied to the inverse heat transfer conduction problem (IHCP) to estimate the unknown time-varying heat flux efficiently as presented. The feasibility of this method can be verified by adopting the temperature measurement experiment. We would like to focus attention on the heat flux estimation to three kinds of samples (Copper, Iron and Steel/AISI 304) with the same 3mm thickness. The temperature measurements are then regarded as the inputs into the FWIEM to estimate the heat flux. The experiment results show that the proposed algorithm can estimate the unknown time-varying heat flux on-line.

Authors:

• Chen-Yu Wang
• Tsung-Chien Chen
• Ming-Hui Lee
• Jen-Feng Huang

Keywords:

• Fuzzy Weighted Input Estimation Method
• IHCP andHeat Flux.

References:

[1] Huang, C. H. and Wang, Y. C., "Inverse Problem of Controlling the
Interface Velocity in Stefan Problems by Conjugate Gradient Method,"
Journal Chinese Institute Engineers, Vol. 19, No. 2, pp. 247-253, 1996.
[2] Huang, C. H. and Ozisik, M. N., "Inverse Problem of Determining
Unknown Wall Heat Flux in Laminar Flow Through a Parallel Plat Duct,"
Numerical Heat Transfer, Part A, Vol. 21, pp. 55-70, 1992.
[3] Li, H. Y. and Yan, W. M., "Inverse Convection Problem for Determining
Wall Heat Flux in Annular Duct Flow," Journal of Heat Transfer
Transactions of the ASME, Vol. 122, pp. 460-464, 2000.
[4] T. C. Chen and S. J. Hsu, "Heat-Dissipating Control of Electronic Devices
Using a Combination of Adaptive Input Estimation Method and Linear
Quadratic Gaussian Problem," Inverse Problems in Science and
Engineering, Vol. 17, No.2, pp. 213-227, March 2009.
[5] Tuan, P. C., Fong, L. W. and Huang, W. T., "Analysis of On-Line Inverse
Heat Conduction Problems," Journal of Chung Cheng Institute of
Technology ,25(1),pp.59-73,1996.
[6] Kalman R. E., "a New Approach to Linear Filtering and Prediction
Problems," ASME Journal of Basic Engineering, Series 2D,pp.35-45,
1960.
[7] Tuan, P. C. and Hou, W. T., "The Adaptive Robust Weighting Input
Estimation for 1-D Inverse Heat Conduction Problem," Numerical Heat
Transfer, Part B, Vol.34, pp. 439-456, 1998.
[8] Tuan, P. C., and Hou, W. T., "Adaptive Robust Weighting Input
Estimation Method for the 1-D Inverse Heat Conduction Problem,"
Numerical Heat Transfer, Part B, Vol. 34, pp. 1-18 (1998).
[9] Gao, F. S., Qiu, W. J., Liang, S. C., and Sun, L.,"Study on the Gun Tube
Life Prediction," Journalof Nanjing University of Science and
Technology,Vol.21, No.3, Jun (1997).
[10] Chen, T. C., Hsu, S. J., "A Study of the Gun Barrel Temperature
Measurement and Heat Flux Estimation Using Non-destruction Ballistic
Experimental Method," JOURNAL OF EXPLOSIVES AND
PROPELLANTS, R.O.C., Vol.22, No.2, p20-21, 2006.
[11] T. C. Chen and M. H. Lee "Intelligent Fuzzy Weighted Input Estimation
Method Applied to Inverse Heat Conduction Problems," International
Journal of Heat and Mass Transfer, Vol.51 , pp. 4168-4183, July 2008.
[12] M. H. Lee, T. C. Chen, T. P. Yu, and H. Y. Jang, "The Study of the
Intelligent Fuzzy Weighted Input Estimation Method Combined With the
Experiment Verification for the Multilayer Materials," World Academy
of Science, Engineering and Technology ,Vol. 53, pp. 113-122, 2009.